R : Copyright 2006, The R Foundation for Statistical Computing
Version 2.3.1 (2006-06-01)
ISBN 3-900051-07-0

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> 
>  library(aster)
Loading required package: trust
> 
>  ifam <- fam.truncated.poisson(truncation = 0)
> 
>  mu <- seq(0.1, 3.0, 0.2)
>  theta <- log(mu)
> 
>  zeroth <- double(length(theta))
>  first <- double(length(theta))
>  second <- double(length(theta))
> 
>  for (i in seq(along = theta)) {
+     zeroth[i] <- famfun(ifam, 0, theta[i])
+     first[i] <- famfun(ifam, 1, theta[i])
+     second[i] <- famfun(ifam, 2, theta[i])
+  }
> 
>  all.equal(zeroth, log(exp(mu) - 1))
[1] TRUE
>  tau <- mu / (1 - exp(- mu))
>  all.equal(first, tau)
[1] TRUE
>  all.equal(second, tau * (1 - tau * exp(- mu)))
[1] TRUE
> 
>